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Related Concept Videos

Rationalizing Substitutions01:29

Rationalizing Substitutions

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Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...
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Rational Expressions01:28

Rational Expressions

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Rational expressions are algebraic fractions in which both the numerator and the denominator are polynomials. These expressions follow the arithmetic rules of numerical fractions but require extra care due to the presence of variables. A fundamental part of working with rational expressions is identifying values that make the expression undefined, typically those that result in division by zero or undefined radicals.Determining the DomainThe domain of a rational expression includes all real...
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Reliability and Validity01:29

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Reliability and validity are two important considerations that must be made with any type of data collection. Reliability refers to the ability to consistently produce a given result. In the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways.
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Asymptotes in Rational Functions01:30

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A rational function is defined as the quotient of two polynomials:  where Q(x)≠0, These functions often exhibit asymptotes, which are the lines that the graph approaches but never touches. These asymptotes are classified based on how the function behaves near specific values of the input.Vertical asymptotes occur where the denominator is zero, and the numerator is not, causing the function to be undefined. These are found by solving Q(x)=0. For example:  has a vertical...
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Rational Emotive Behavior Therapy01:24

Rational Emotive Behavior Therapy

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Cognitive-behavioral therapies (CBTs) are grounded in the belief that our thoughts profoundly influence our emotions and actions. Advocates of CBT emphasize three core assumptions: first, that cognitions are identifiable and measurable; second, that they are central to psychological functioning; and third, that irrational or maladaptive beliefs can be replaced with rational and adaptive ones. This transformative approach to therapy has paved the way for specific models such as Albert...
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Group Design02:01

Group Design

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The most basic experimental design involves two groups: the experimental group and the control group. The two groups are designed to be the same except for one difference— experimental manipulation. The experimental group gets the experimental manipulation—that is, the treatment or variable being tested—and the control group does not. Since experimental manipulation is the only difference between the experimental and control groups, we can be sure that any differences between...
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Updated: Feb 6, 2026

A Workflow for Lipid Nanoparticle LNP Formulation Optimization using Designed Mixture-Process Experiments and Self-Validated Ensemble Models SVEM
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A rational and iterative process for targeted nanoparticle design and validation.

Laura Rodriguez-Lorenzo1, Sarah D Rafiee2, Corine Reis2

  • 1Adolphe Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland.

Colloids and Surfaces. B, Biointerfaces
|August 12, 2018
PubMed
Summary
This summary is machine-generated.

Researchers developed multifunctional gold nanoparticles for targeted cancer cell detection. These nanoparticles exhibit stability in biological environments and selective targeting of ERBB2-positive breast cancer cells.

Keywords:
Anti-biofoulingDF-HISERBB2-positive breast cancer cellsFACSICP-OESMultifunctional gold nanoparticlesTrastuzumab

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Area of Science:

  • Biomedical Engineering
  • Nanotechnology
  • Materials Science

Background:

  • Understanding nano-bio interactions is crucial for translating nanoparticle technology into clinical applications.
  • Designing nanoparticles with stability in biological environments presents significant challenges.
  • Current limitations hinder the effective use of nanoparticles in medicine.

Purpose of the Study:

  • To present a multi-parametric approach for comprehensive characterization of targeted nanoparticles.
  • To investigate the impact of synthetic process details on in vitro nanoparticle behavior.
  • To optimize nanoparticle functionality through an iterative design, synthesis, and testing process.

Main Methods:

  • Utilized an iterative approach for nanoparticle design and synthesis.
  • Conducted physico-chemical characterization of synthesized nanoparticles.
  • Evaluated bio-interactive properties of nanoparticles in vitro.
  • Assessed nanoparticle stability in complex biological environments.

Main Results:

  • Developed multifunctional gold nanoparticles with excellent physicochemical stability.
  • Demonstrated selective detection of ERBB2-positive breast cancer cells.
  • Observed stealth-like behavior of nanoparticles toward ERBB2-negative cells.
  • Highlighted the significant influence of synthetic details on nanoparticle performance.

Conclusions:

  • The developed multi-parametric approach enables full characterization and optimization of nanoparticle functionality.
  • Multifunctional gold nanoparticles show promise for targeted cancer diagnostics.
  • Careful control over the synthetic process is essential for achieving desired nanoparticle properties and performance.